Generalized Hook and Content Numbers Identities—The Projective Case

The study of identities of hook pairs and of content pairs of partitions in is continued. For a strict partition λ = (λ1 > ⋯ > λk) letμ = (λ1,⋯ , λk|λ1 − 1,⋯ , λk − 1) in the Frobenius notation. It is proved that for such partitions there are refinements of the identities in , and further identities exist which arise from half of each of the diagrams involved.